The band's name is apparently an homage to Levoberezhny (Left bank), the ghetto-like district of their home town, Voronezh, which was also ironically referred to as Gaza Strip by its residents. Phrase Сектор Газа also means gas sector in Russian, so the name puns on both pollutedness and high level of common crime and domestic violence in the district. In one of their earliest songs, the band claims that the town is so polluted that nobody ever reaches the age of 40. Indeed, in 2000, the band leader Yuri Hoy died at the young age of 36 from a heart failure (which in fact might be caused by extensive drug use).